Thermal and Thermo Diffusion Effects on Heat and Mass Transfer in a Viscous Couple Stress Fluid

Abstract

Thermal and thermo diffusion effect on viscous dissipating Couple stress fluid along a vertical plate has applications in various scientific and engineering domains particularly in petrochemical and metallurgical industries. This study aims to investigate the combined effects of thermal and thermo diffusion on the flow of heat and mass transfer in viscous couple stress fluid. The governing equations were transformed into coupled nonlinear ordinary differential equations using a suitable similarity variable. The resulting self-similar problems were solved by employing a shooting method embedded in MATLAB R2025a. The Nusselt number was found to increase with increase in the Soret number while it reduces as Dufour number increases. Sherwood number on the other hand decreases with an increase in the Soret number while it increases as Dufour number increases. Prandtl number causes a reduction in the fluid velocity and temperature. An increase in the values of Dufour number increases the velocity and temperature of the fluid, while it reduced the concentration. Higher values of the Soret number reduces the fluid velocity and temperature, but increased its concentration. Furthermore, enhancement in Eckert number ???????? reduces the Nusselt number and increases the Sherwood number, while increment in the heat generation/absorption parameter increases the Nusselt number and reduces the Sherwood number. The embedded parameters have appreciable impact on the flow of heat and mass transport of the couple stress fluid.